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  • © 2019

Advanced Topics in Fuzzy Graph Theory

  • Discusses advanced research topics such as connectivity and t-norm fuzzy graphs
  • Includes a brief introduction to the field of fuzzy sets for newcomers
  • Describes interesting applications to hot real-world socio-political issues

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 375)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xv
  2. Preliminaries

    • John N. Mordeson, Sunil Mathew
    Pages 1-13
  3. Connectivity in Fuzzy Graphs

    • John N. Mordeson, Sunil Mathew
    Pages 15-54
  4. Connectivity and Wiener Indices of Fuzzy Graphs

    • John N. Mordeson, Sunil Mathew
    Pages 55-91
  5. Distances and Convexity in Fuzzy Graphs

    • John N. Mordeson, Sunil Mathew
    Pages 93-126
  6. Aggregation Operators and t-Norm Fuzzy Graphs

    • John N. Mordeson, Sunil Mathew
    Pages 127-175
  7. Dialectic Synthesis

    • John N. Mordeson, Sunil Mathew
    Pages 177-196
  8. Back Matter

    Pages 197-209

About this book

This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to – and at the same time an inspiring read on – the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

Authors and Affiliations

  • Department of Mathematics, Creighton University, Omaha, USA

    John N. Mordeson

  • Department of Mathematics, National Institute of Technology, Calicut, India

    Sunil Mathew

About the authors

Dr. John N. Mordeson is Professor Emeritus of Mathematics at Creighton University. He received his B.S., M.S., and Ph.D. from Iowa State University. He is a Member of Phi Kappa Phi. He is the President of the Society for Mathematics of Uncertainty. He has published 15 books and 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph.D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human trafficking.

Dr. Sunil Mathew is currently a Faculty Member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Joseph’s College Devagiri, Calicut, and Ph.D. from National Institute of Technology Calicut in the area of Fuzzy Graph Theory. He has published more than 75 research papers and written two books. He is a member of several academic bodies and associations. He is editor and reviewer of several international journals. He has an experience of 20 years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access